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Simplifying (3x + 2)(9x + -8) = 0 Reorder the terms: (2 + 3x)(9x + -8) = 0 Reorder the terms: (2 + 3x)(-8 + 9x) = 0 Multiply (2 + 3x) * (-8 + 9x) (2(-8 + 9x) + 3x * (-8 + 9x)) = 0 ((-8 * 2 + 9x * 2) + 3x * (-8 + 9x)) = 0 ((-16 + 18x) + 3x * (-8 + 9x)) = 0 (-16 + 18x + (-8 * 3x + 9x * 3x)) = 0 (-16 + 18x + (-24x + 27x2)) = 0 Combine like terms: 18x + -24x = -6x (-16 + -6x + 27x2) = 0 Solving -16 + -6x + 27x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -3x)(8 + -9x) = 0Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve: Simplifying -2 + -3x = 0 Solving -2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 0 + 2 -3x = 0 + 2 Combine like terms: 0 + 2 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667Subproblem 2
Set the factor '(8 + -9x)' equal to zero and attempt to solve: Simplifying 8 + -9x = 0 Solving 8 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -9x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 0 + -8 -9x = 0 + -8 Combine like terms: 0 + -8 = -8 -9x = -8 Divide each side by '-9'. x = 0.8888888889 Simplifying x = 0.8888888889Solution
x = {-0.6666666667, 0.8888888889}
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